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Original
2026-01-01
Modified
2026-02-28
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<p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -</p>
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<p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -</p>
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<p><strong>Step 1:</strong>Firstly, 3000 is divided by 2 to get 1500.</p>
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<p><strong>Step 1:</strong>Firstly, 3000 is divided by 2 to get 1500.</p>
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<p><strong>Step 2:</strong>Now divide 1500 by 2 to get 750.</p>
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<p><strong>Step 2:</strong>Now divide 1500 by 2 to get 750.</p>
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<p><strong>Step 3:</strong>Then divide 750 by 2 to get 375.</p>
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<p><strong>Step 3:</strong>Then divide 750 by 2 to get 375.</p>
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<p><strong>Step 4:</strong>Divide 375 by 3 to get 125.</p>
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<p><strong>Step 4:</strong>Divide 375 by 3 to get 125.</p>
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<p><strong>Step 5:</strong>Divide 125 by 5 to get 25.</p>
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<p><strong>Step 5:</strong>Divide 125 by 5 to get 25.</p>
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<p><strong>Step 6:</strong>Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 3000 is: 2³ × 3 × 5³.</p>
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<p><strong>Step 6:</strong>Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 3000 is: 2³ × 3 × 5³.</p>
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<p><strong>Factor Pairs:</strong>Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.</p>
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<p><strong>Factor Pairs:</strong>Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.</p>
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<p><strong>Positive factor pairs of 3000:</strong>(1, 3000), (2, 1500), (3, 1000), (4, 750), (5, 600), (6, 500), (8, 375), (10, 300), (12, 250), (15, 200), (20, 150), (24, 125), (25, 120), (30, 100), (40, 75), (50, 60).</p>
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<p><strong>Positive factor pairs of 3000:</strong>(1, 3000), (2, 1500), (3, 1000), (4, 750), (5, 600), (6, 500), (8, 375), (10, 300), (12, 250), (15, 200), (20, 150), (24, 125), (25, 120), (30, 100), (40, 75), (50, 60).</p>
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<p><strong>Negative factor pairs of 3000:</strong>(-1, -3000), (-2, -1500), (-3, -1000), (-4, -750), (-5, -600), (-6, -500), (-8, -375), (-10, -300), (-12, -250), (-15, -200), (-20, -150), (-24, -125), (-25, -120), (-30, -100), (-40, -75), (-50, -60).</p>
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<p><strong>Negative factor pairs of 3000:</strong>(-1, -3000), (-2, -1500), (-3, -1000), (-4, -750), (-5, -600), (-6, -500), (-8, -375), (-10, -300), (-12, -250), (-15, -200), (-20, -150), (-24, -125), (-25, -120), (-30, -100), (-40, -75), (-50, -60).</p>
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